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CBSE Class 12-science Answered

diagonal malrix plz one example
Asked by | 01 Mar, 2008, 10:30: PM
answered-by-expert Expert Answer

In linear algebra, a diagonal matrix is a square matrix in which the entries outside the main diagonal are all zero. The diagonal entries themselves may or may not be zero. Thus, the matrix D = (di,j) with n columns and n rows is diagonal if:

d_{i,j} = 0 \mbox{ if } i \ne j \qquad \forall i,j \in \{1, 2, \ldots, n\}

 

For example, the following matrix is diagonal:

\begin{bmatrix} 1 & 0 & 0\\ 0 & 4 & 0\\ 0 & 0 & -3\end{bmatrix}.
Answered by | 11 Mar, 2008, 04:07: PM

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